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Finding the Fourth Proportional to 428,512.79, 642,215.59 and 203,942.06

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Solution

The fourth proportional to 428,512.79, 642,215.59 and 203,942.06 is: 305,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,512.79 : 642,215.59 = 203,942.06 : x
  2. Step 2: Convert to fraction form
    428,512.79/642,215.59 = 203,942.06/x
  3. Step 3: Cross multiply
    428,512.79x = 642,215.59 × 203,942.06
  4. Step 4: Simplify right side
    428,512.79x = 130,974,770,388.72
  5. Step 5: Solve for x
    x = 130,974,770,388.72/428,512.79
  6. Step 6: Final answer
    x = 305,649.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.